Search a number
-
+
42735004235 = 5711199557789
BaseRepresentation
bin100111110011001101…
…000110101001001011
311002022021110010222122
4213303031012221023
51200010130113420
631344315241455
73042004354040
oct476315065113
9132267403878
1042735004235
111713a883220
128347a4928b
1340508a3971
1420d59131c7
1511a1b83725
hex9f3346a4b

42735004235 has 32 divisors (see below), whose sum is σ = 64257408000. Its totient is φ = 26506085760.

The previous prime is 42735004219. The next prime is 42735004237. The reversal of 42735004235 is 53240053724.

It is not a de Polignac number, because 42735004235 - 24 = 42735004219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 42735004195 and 42735004204.

It is not an unprimeable number, because it can be changed into a prime (42735004237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202280 + ... + 355509.

It is an arithmetic number, because the mean of its divisors is an integer number (2008044000).

Almost surely, 242735004235 is an apocalyptic number.

42735004235 is a deficient number, since it is larger than the sum of its proper divisors (21522403765).

42735004235 is a wasteful number, since it uses less digits than its factorization.

42735004235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558011.

The product of its (nonzero) digits is 100800, while the sum is 35.

Adding to 42735004235 its reverse (53240053724), we get a palindrome (95975057959).

The spelling of 42735004235 in words is "forty-two billion, seven hundred thirty-five million, four thousand, two hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 199 385 995 1393 2189 6965 10945 15323 76615 557789 2788945 3904523 6135679 19522615 30678395 42949753 111000011 214748765 555000055 777000077 1221000121 3885000385 6105000605 8547000847 42735004235